Answer:
I can't see that good enough
A rock is tossed vertically from a height of 2m with an initial velocity of 20 ms-1. The height of the rock, h, after t seconds can be modeled by the polynomial function :h(t)=−4.9t2+20t+2, t≥0. Calculate how many seconds, rounded to three significant figures, it takes for the rock to hit the ground.
Answer:
The rock takes 4.18 seconds to hit the ground
Step-by-step explanation:
Function Model
The height of a rock h, after t seconds, can be modeled by the polynomial function:
[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]
When the rock hits the ground, the height is 0, thus we need to find the value of t such as:
[tex]-4.9t^2+20t+2=0[/tex]
A quadratic equation can be expressed as:
[tex]at^2+bt+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The values for the given equation are:
a=-4.9, b=20, c=2
Applying the formula:
[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]
[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]
[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]
There are two possible solutions:
[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]
[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]
Since t > 0, the only solution is t=4.19 seconds
The rock takes 4.18 seconds to hit the ground
A basketball player is 90 inches tall. A model is created of the player using a scale factor of 1:20. How tall is the model in inches?
Answer:
4.5
Step-by-step explanation:
Answer:
The answer is 1:16
Please help! A line has a slope of -2 and a y-intercept of -3. Graph the line using the slope and y-intercept. Which of the following points lie on this same line? Check all that apply.
Answer:
2. -1.5, 0
3. -6, 9
5. 3, -9
Step-by-step explanation:
Given parameters:
Slope = -2
y - intercept = -3
Unknown:
The point that lies on the line = ?
Solution:
To do the equation of the line,
y = mx + c
y and x are the coordinates
m is the slope
c is the y -intercept
Input the parameters:
y= -2x -3
The points that lie on the line will conform with the equation:
y + 2x = -3
1. -2, 0
y = 0 and x = -2
0 + (-2)2 = -4
2. -1.5, 0
y = 0 and x = -1.5
0 + 2(-1.5) = -3
3. -6, 9
y = 9, x = -6
9 + 2(-6) = 9 - 12 = -3
4. 2, -3
y = -3 and x = 2
-3 + 2(2) = -3 + 4 = 1
5. 3, -9
y = -9, x = 3
-9 + 2(3) = -9 + 6 = -3
6. -4, 4
y = 4 , x - 4
4 + 2(-4) = 4 - 8 = -4
The boldened coordinates line on the same line.
Your family needs a set of 4 tires. Which of the following deals would you prefer? Complete the explanation below to tell which deal(s) would be better.
(I) Buy 2, get two free (II) 45% off (III) 1/2off
The best deal would be either .
Either case would result in a discount of %,
which is better than the other alternative of %.
PLZ ANSWER ASAP!
Answer
Buy 2, get 2 free and/or 1/2 off
Step-by-step explanation:
OK, lets say that the tire price was 15. (l)= 15+15=30 (ll)= 15/45%= 33.33x4=133.32 (lll)= 15/2=7.5 7.5x4=30
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos
The amount of liquid that would fill a test tube: milliliters (it is usually a small amount and used for precise measurements)
The amount of mouthwash that would fill a travel-sized container: milliliters (again, a small amount)
The amount of coffee that would fill a thermos: liters (a large amount, used for drinking)
Solve each system by elimination: -7x-6y=4 -3x+2y=20
Answer:
Step-by-step explanation:
-7x - 6y = 4
-9x + 6y = 60
-16x = 64
x = -4
-3(-4)+2y=20
12+2y=20
2y=8
y =4
(-4,4)
In the photo which one?
Answer:
The variable terms on each side WILL NOT BE IDENTICAL.
Step-by-step explanation:
Passes through (-2, 6) with a slope of -1/4.
1/8 to decimal and
10/11 to decimal
Answer:
Step-by-step explanation:
1
Answer: 1 divided by 8= 0.125
10 divided by 11= 0.90^
Step-by-step explanation:
How do I solve permutations and combinations?
Answer:
by formulas . you can solve permutations and combinations by formulas .
3х – 10 y = 14 3х - 9y = 15
Answer:
{x,y}={8,1}Step-by-step explanation: i just looked it up
Write the equation of the line through the points (-6, -19) and (2,5).
Answer:
m = 7/2 y = 7/2x + b
Step-by-step explanation:
can someone help out with this please? (i just put a random answer) but can someone help me out with the actual answer and explain how it’s the answer?
Answer:
distribute on each side is correct :)
Find the slope passes through (-5,2) and (3,3)
your grocery bill before taxes was $265.24 you have to pay 7.3% sales tax how much is your total grocery bill
Answer:
301.57
Step-by-step explanation:
I think this is it. I divided the total before taxes by the percentage and added what I got from the division to the total before taxes.
Answer:
Step-by-step explanation:
The double number line shows that 4 bottled of water cost 20 dollars at a music
Find an equation of a line that is parallel to y = 4x + 5 and goes through the point (-1, 3)\
Answer:
y = 4 x + 7
Step-by-step explanation:
Which of the following is the solution to the equation t/3 = -9
At Teen Tops, a package of 5 T-shirts costs $38. At
Bargain City, a package of 4 T-shirts costs $34. Which
statement is the most accurate?
A. Bargain City is the better buy because it sells T-shirts at $8.50 per T-Shirt
B. Teen Tops is the better buy because the packages has more T-shirts
C. Bargain City is the better buy because $34 is less than $38
D. Teen Tops is the better buy because it sells T-shirts at $7.60 per T-shirt
Answer:
D
Step-by-step explanation:
Please answer this question
Answer:
if it is a square, then it must be a quadrilateral
A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.
Answer:
yes
Step-by-step explanation:
If b = 3, then b ^-2 is equivalent to ... please help fast lol I’m in a test
Answer:1/9
Step-by-step explanation:
Which relation is a function?
Answer:
bottom right graph
Step-by-step explanation:
i need this this fast!! please
Answer:
last one
Step-by-step explanation:
what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
Step-by-step explanation:
Which relation is a function?
Answer: B
Step-by-step explanation:
Which Expression has a value of 2/3
Answer:
(8 + 24) ÷ (12 x 4)
Step-by-step explanation:
A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long can you park?
Answer:
You get a total of two hours of parking.
Step-by-step explanation:
First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!
9. Find the slope represented in the table
below. Show all work.
Х
y
7
-30
11
-54
13
-66
20
- 108
Answer:bruh I’m still tryna figure this out
Step-by-step explanation:
There are about 4,000,000 students attending school, kindergarten through Grade 12, in New York. The average number of students attending a middle school in New York is 8 x 10^2. Approximately how many times greater is the overall number of K–12 students compared to the average number of middle school students?
Question 1 options:
A. 200,000,000 times greater
B. 2,000,000 times greater
C. 50,000,000 times greater
D. 5,000 times greater
Answer:
C
Step-by-step explanation:
big number
Answer:
D
Step by step explanation:
08*10^2=800
4,000,000/800=5,000